It looks like there are choices. If I don't get this the way your choices are written please leave a note under my answer.
total weight = w
w = n + bp + t
t = 70% * w <<<< One possible answer
t = (70/100)*W = 0.7*W Either one of these could be an answer.
n = 4 pounds
bp = 2 pounds
w = 4 + 2 + t Substitute for t
W = 6 + (70%W)
W = 6 + (70/100) * W
W = 6 + 0.7*W Subtract 0.7W from both sides.
W - 0.7W = 6
0.3W = 6 Divide by 0.3
W = 6/0.3
W = 20
t = (70/100*20 = 14 <<<< Could be an answer.
Please put the possible choices up soon. The mods can be very touchy about uncertain answers. They are correct to delete such questions.
Answer:
Equation: t = 0.7W or t = (b+n) - W
Weight of t: 14 lbs
Step-by-step explanation:
To determine the weight of the textbooks we need to determine the weight of the entire backpack itself. We can create the following formula to figure this out.
[tex]W = t+b+n[/tex]
Where
Since the textbooks are 70% of the weight of the entire backpack, we can use the following expression to represent the textbooks.
[tex]t = 0.7w[/tex]
Now we can use the given values and plug them into the formula we created, and begin solving for the weight of the total weight.
[tex]W = 0.7W+2+6[/tex]
[tex]W = 0.7W +6[/tex] ..... subtract 0.7W from both sides
[tex]0.3W = 6[/tex] .... divide both sides by 0.3
[tex]W = 20[/tex]
Now that we know that the total weight of the backpack is 20 lbs we can calculate the weight of the textbooks.
[tex]t = 0.7W[/tex]
[tex]t = 0.7*20[/tex]
[tex]t = 14[/tex]
So the textbooks are 14 lbs.
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